Multiple positive solutions for first order nonlinear integro-differential equations in Banach spaces

DOI10.1016/S0362-546X(02)00165-7zbMath1026.45013MaRDI QIDQ1869754

Dajun Guo

Publication date: 28 April 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

fixed point indexintegro-differential equationmultiple positive solutionsordered Banach spacenormal solid cone

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Functional-differential equations in abstract spaces (34K30) Applications of operator theory to differential and integral equations (47N20) Abstract integral equations, integral equations in abstract spaces (45N05)

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Infinite boundary value problems for \(n\)th-order nonlinear impulsive integro-differential equations in Banach spaces ⋮ Some existence and uniqueness results for first-order boundary value problems for impulsive functional differential equations with infinite delay in Fréchet spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Professor Dajun Guo: a true mathematician and educator ⋮ Unbounded solutions of a boundary value problem for abstract \(n\)th-order differential equations on an infinite interval ⋮ The existence of solutions of infinite boundary value problems for first-order impulsive differential systems in Banach spaces ⋮ Monotone iterative method for the periodic boundary value problems of impulsive evolution equations in Banach spaces ⋮ Multiple positive solutions of a \(m\)-point boundary value problem for \(2n\)th-order singular integro-differential equations in Banach spaces ⋮ The existence of positive solution for singular boundary value problems of first order differential equation on unbounded domains ⋮ Some Characterization Results of Nonlocal Special Random Impulsive Evolution Differential Equations

Cites Work

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• Combined effects of concave and convex nonlinearities in some elliptic problems
• Second order integro-differential equations of Volterra type on unbounded domains in Banach spaces
• Multiple positive solutions of impulsive nonlinear Fredholm integral equations and applications
• On multiple positive solutions of nonlinear elliptic eigenvalue problems
• Multiplicity Results for Two Classes of Boundary-Value Problems
• Minimal nonnegative solutions for \(n\)th order integro-differential equations in Banach spaces

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